This name has been used occasionally in England since the 12th century. It was not common in the English-speaking world until the end of the 20th century.
Among Christians, this name was originally more common in Eastern Europe. It was borne in the 12th century by Saint Elizabeth of Hungary, a daughter of King Andrew II who used her wealth to help the poor. In medieval England it was occasionally used in honour of the saint, though the form Isabel (from Occitan and Spanish) was more common. It has been very popular in England since the reign of Queen Elizabeth I in the 16th century. In American name statistics (as recorded since 1880) it has never ranked lower than 30, making it the most consistently popular name for girls in the United States.
Besides Elizabeth I, this name has been borne (in various spellings) by many other European royals, including a ruling empress of Russia in the 18th century. Famous modern bearers include the British queen Elizabeth II (1926-2022) and actress Elizabeth Taylor (1932-2011).
As an English name, Abigail first became common after the Protestant Reformation, and it was popular among the Puritans. The biblical Abigail refers to herself as a servant, and beginning in the 17th century the name became a slang term for a servant, especially after the release of the play The Scornful Lady (1616), which featured a character named Abigail. The name went out of fashion at that point, but it was revived in the 20th century.